Question

Pls help very confused

Answer 1

6. Equation: 5 + 6x = 17 + 2x

Solution: x = 3

7. Equation: 43,425 + 75x = 45,000 - 150x

Explanation:

6. the initial amount if 5 and every hour (x) its increasing 6 inches, making

5 + 6x and then in the other town its initial amount is 17 and increasing by 2 inches every hour (x) making 5 + 6x = 17 + 2x . Then you solve the equation.

first, i subtracted 5 from both sides making 6x = 12 + 2x. Then i subtracted 2x from both sides making 4x = 12. Lastly, i divided both sides by 4 making x = 3.

7. Similar situation with question 6. 43,425 is the initial amount in the town and since its -125 with people moving out and +200 people moving in, it makes a net amount of +75 so thats where i got 75. Then for the second town they have an initial amount of 45,000 and lose 150 people every month. This makes the equation 43,425 + 75x = 45,000 - 150x

Then you solve, add 150x to both sides making 43,425 + 225x = 45,000

Then subtract 43,425 from both sides. You end up with 225x = 45,000

Divide both sides by 225 and you end up getting x = 7.

Answer 2

After 3 hours, the snowfall of the towns will be equal.

In 7 months, the population of the towns will be equal.

Explanation:

Lets start with what we know. The first town starts at 5 inches of snow, and it increases by 6 inches every hour. The second starts at 17 inches and it increases by 2 inches every hour. Now we have two equations.

a (inches of snow in 1st town) = 5 + 6h (hours)

b (inches of snow in 2nd town) = 17 + 2h

Now we just find the h that makes a and b equal.

After 1 hour, a = 11 and b = 19. After 2, a = 17 and b = 21. And after 3, a and b both equal 23.

For the second problem, it's more of the same. The first town has an initial population of 43,425. If we add the people who move out and in each month, a net 75 move in every month. The second town has a population of 45,000. 150 people move out every month. This means our two equations are:

c (population of 1st town) = 43,425 + 75m (months)

d (population of 2nd town) = 45,000 - 150m

Plugging in months gives us 7 months as the point when the population of the towns will be equal.